GCD of 443, 905, 387, 522 Calculator

Given Input numbers are 443, 905, 387, 522

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 443

List of positive integer divisors of 443 that divides 443 without a remainder.

1, 443

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Greatest Common Divisior

We found the divisors of 443, 905, 387, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 443, 905, 387, 522 is 1.

Therefore, GCD of numbers 443, 905, 387, 522 is 1

Given Input Data is 443, 905, 387, 522

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 443 is 443

Prime Factorization of 905 is 5 x 181

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 522 is 2 x 3 x 3 x 29

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(443, 905) = 400915

GCD(443, 905) = ( 443 x 905 ) / 400915

GCD(443, 905) = 400915 / 400915

GCD(443, 905) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 387

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 387) = 387

GCD(1, 387) = ( 1 x 387 ) / 387

GCD(1, 387) = 387 / 387

GCD(1, 387) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 522

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 522) = 522

GCD(1, 522) = ( 1 x 522 ) / 522

GCD(1, 522) = 522 / 522

GCD(1, 522) = 1

GCD of 443, 905, 387, 522 is 1

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1. What is the GCD of 443, 905, 387, 522?

GCD of 443, 905, 387, 522 is 1

2. Where do I get the detailed procedure to find GCD of 443, 905, 387, 522?

You can find a detailed procedure to find GCD of 443, 905, 387, 522 on our page.

3. How to find GCD of 443, 905, 387, 522 on a calculator?

You can find the GCD of 443, 905, 387, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.